80997588000 has 1728 divisors, whose sum is σ = 368613449568. Its totient is φ = 16721510400.

The previous prime is 80997587987. The next prime is 80997588043. The reversal of 80997588000 is 88579908.

It can be written as a sum of positive squares in 16 ways, for example, as 3082914576 + 77914673424 = 55524^2 + 279132^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1109555964 + ... + 1109556036.

Almost surely, 2^80997588000 is an apocalyptic number.

80997588000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80997588000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184306724784).

80997588000 is an abundant number, since it is smaller than the sum of its proper divisors (287615861568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

80997588000 is a wasteful number, since it uses less digits than its factorization.

80997588000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 80997588000 in words is "eighty billion, nine hundred ninety-seven million, five hundred eighty-eight thousand".